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Parametric equations area under a graph

  • #1
The two equations are:
x=2sin(t)
y=5sin(2t)

i have to find the area under this graph (lemniscate)

I know how to integrate it and all, but my question is how do i find the limits?
 

Answers and Replies

  • #2
hotvette
Homework Helper
996
5
I presume you mean the enclosed area. In any event, the shape is symmetric so you only need half of it (and multiply the result by 2). If you plot the funtion and look at the values of x(t) & y(t) the limits of integration should become clear.
 

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